Gelin-Cesáro identities for Fibonacci and Lucas quaternions
نویسندگان
چکیده
منابع مشابه
Some Identities for Generalized Fibonacci and Lucas Sequences
In this study, we define a generalization of Lucas sequence {pn}. Then we obtain Binet formula of sequence {pn} . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.
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As in [1, 2], for rapid numerical calculations of identities pertaining to Lucas or both Fibonacci and Lucas numbers we present each identity as a binomial sum. 1. Preliminaries The two most well-known linear homogeneous recurrence relations of order two with constant coefficients are those that define Fibonacci and Lucas numbers (or Fibonacci and Lucas sequences). They are defined recursively ...
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متن کاملNew Identities for the Even and Odd Fibonacci and Lucas Numbers
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ژورنال
عنوان ژورنال: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
سال: 2019
ISSN: 2300-133X,2081-545X
DOI: 10.2478/aupcsm-2019-0010